AP EAMCET202123 Aug 2021Evening ShiftMathematicsPermutation and CombinationActual
The number of words which can be made out of the letters of the word 'MOBILE' when consonants occupy odd places is
Options
- A20
- B36
- C30
- D720
Correct answer
B. 36
Step-by-step solution
There are 3 vowels and 3 consonants Number of ways to fill and arrange odd places with consonants = ^3 C₃ 3 ! and number of ways to fill remaining 3 places =3 ! The number of words = ^3 C₃ 3 ! 3 !=36